Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 41, 2016, 817-844

PARTIAL REGULARITY RESULTS FOR ASYMPTOTIC QUASICONVEX FUNCTIONALS WITH GENERAL GROWTH

Teresa Isernia, Chiara Leone and Anna Verde

Università degli Studi di Napoli Federico II, Dipartimento di Matematica e Applicazioni "R. Caccioppoli
via Cinthia, 80126 Napoli, Italy; teresa.isernia 'at' unina.it

Università degli Studi di Napoli Federico II, Dipartimento di Matematica e Applicazioni "R. Caccioppoli
via Cinthia, 80126 Napoli, Italy; chileone 'at' unina.it

Università degli Studi di Napoli Federico II, Dipartimento di Matematica e Applicazioni "R. Caccioppoli
via Cinthia, 80126 Napoli, Italy; anverde 'at' unina.it

Abstract. We prove partial regularity for minimizers of vectorial integrals of the Calculus of Variations, with general growth condition, imposing quasiconvexity assumptions only in an asymptotic sense.

2010 Mathematics Subject Classification: Primary 35B65, 35J70.

Key words: Local minimizers, asymptotic behavior, general growth.

Reference to this article: T. Isernia, C. Leone and A. Verde: Partial regularity results for asymptotic quasiconvex functionals with general growth. Ann. Acad. Sci. Fenn. Math. 41 (2016), 817-844.

Full document as PDF file

doi:10.5186/aasfm.2016.4155